Quiz about INVERS FUNGSI DAN INVERS KOMPOSISI FUNGSI

Question 1

Diketahui $$h\left(x ight)=\frac{9x+4}{6x-5},\ x e\frac{5}{6}.$$ Invers fungsi h adalah $$h^{-1}\left(x ight)=....$$

Accepted Answer

$$\frac{5x+4}{6x-9},\ x e\frac{3}{2}$$

Answer

$$\frac{5x+4}{6x+9},\ x e-\frac{3}{2}$$

Answer

$$\frac{4-5x}{6x-9},\ x e\frac{3}{2}$$

Answer

$$\frac{6x-9}{5x+4},\ x e-\frac{4}{5}$$

Answer

$$\frac{6x-9}{4-5x},\ x e\frac{4}{5}$$

Question 2

Jika $$f^{-1}\left(x ight)$$ adalah invers fungsi $$f\left(x ight)=\frac{2x-4}{x-3},\ x e3$$ maka nilai dari $$f^{-1}\left(4 ight)=.....$$

Accepted Answer

4

Answer

10

Answer

8

Answer

6

Answer

0

Question 3

Fungsi $$f\ :\ R ightarrow R$$ ditentukan oleh $$f\left(x ight)=\frac{x+2}{x-4},\ x\ e4$$ . Jika $$f^{-1}\left(x ight)=10$$ maka nilai x yang memenuhi adalah....

Accepted Answer

2

Answer

1

Answer

3

Answer

7

Answer

5

Question 4

Jika $$f\left(x ight)=3x-1\ dan\ g\left(x ight)=\frac{x}{x-1},\ x e1.$$ Tentukan nilai x supaya $$\left(f^{-1}\circ\ g^{-1} ight)\left(x ight)=2$$

Accepted Answer

5/4

Answer

-(5/4)

Answer

4/5

Answer

-(4/5)

Answer

2

Question 5

Misalnya $$f\ :\ R\ ightarrow\ R$$ dan $$g\ :\ R\ ightarrow\ R$$ dengan $$f\left(x ight)=2x+1\ dan\ g\left(x ight)=\frac{x}{x+1},\ x e-1$$ . nilai x yang memenuhi bentuk $$\left(f\ \circ\ g ight)^{-1}\left(5 ight)=....$$

Accepted Answer

-2

Answer

-5

Answer

0

Answer

2

Answer

5

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